Finding the Third Proportional to 74,820 and 112,414

Step by Step Solution

1. Step 1: Write the proportion equation
   74,820 : 112,414 = 112,414 : x
2. Step 2: Convert to fraction form
   74,820/112,414 = 112,414/x
3. Step 3: Cross multiply
   74,820x = 112,414 × 112,414
4. Step 4: Simplify right side
   74,820x = 12,636,907,396
5. Step 5: Solve for x
   x = 12,636,907,396/74,820
6. Step 6: Final answer
   x = 168,897.45